2. There were 1500 people at a high school football game. Student
tickets were $2.00 and adult tickets were $3.50. The total receipts for the
game were $3825. How many students bought tickets?
Let a = the number of adult tickets purchased.
Let s = the number of student tickets purchased.
a. Write a system of equations tha) can be used to determine the
number of adult and student tickets purchased.
b. Determine the number of adults tickets sold and the number of
student tickets sold. Use mathematics to explain how you
determined your answer.

Answer:

No.

Step-by-step explanation:

It’s not possible. No matter what type of quadrilateral it is, there will only be two triangles formed, verifying that the sum of the interior angles of a quadrilateral is always 360°.

It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. It is verifies that the sum of the interior angles of a quadrilateral is always 360°.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. No matter what type of quadrilateral it is, there will only be two triangles formed.

We know that The sum of internal angle of a quadrilateral is 360°.

The sum of angle in a triangle is 180°. By Adding the two triangle angle together, we will get the sum as 360°.

The Sum of the interior angle of a polygon = 180(n-2) .

It is verifies that the sum of the interior angles of a quadrilateral is always 360°.

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Answer:

33/48, 34/48, 35/48

Step-by-step explanation:

2/3 is equal to 32/48 and 3/4 is equal to 36/48. The fractions in between them are all rational numbers. Hope this helped <3

Answer:

In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Step-by-step explanation:

Answer:

She used 600 square inches of paper.

Step-by-step explanation:

Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:

surface area = 2*width*length + 2*width*height + 2*length*height

surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120

surface area = 600 in².

She used 600 square inches of paper.

Answer:

the last one

Step-by-step explanation:

a number used to multiply a variable

Answer:

Width = 160

Length = 110

Step-by-step explanation:

Perimeter is the sum of all the sides

They tell you that the length is 50 m shorter than the width

so L = W - 50

W = W

540 = W + W + W-50 + W-50

540 = 2W + 2(W-50)

540 = 2W + 2W - 100

540 = 4W - 100

640 = 4W

W = 160

L = 160 - 50

L = 110

Answer:

Length: 110 m

Width: 160 m

Step-by-step explanation:

The formula for perimeter of a rectangle is P = 2L + 2W.

We can write the length in terms of width if width is w:

Length: w - 50

Width: w

Plug the values into the formula.

540 = 2(w - 50) + 2w

540 = 2w - 100 + 2w

540 = 4w - 100

640 = 4w

w = 160

find length by subtracting 50 from the width

160-50=110

Therefore, the length is 110 and the width is 160.

Answer:

y = 2x + 3  → Gradient / slope = 2 → Y - intercept = 3

y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3

Step-by-step explanation:

y = mx + c

This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so

y = 2x + 3

Gradient / slope = 2

Y - intercept = 3

y = -3x + 3

Gradient / slope = -3

Y - intercept = 3

Answer:

there is nothing there

Step-by-step explanation:

literally

Answe    

Step-by-step explanation:

Answer:

x-intercept(s):

(1,0),(3/2,0)

y-intercept(s): (0,3)

Use the formula

x=−b/2a to find the maximum and minimum.

Ans;(5/4,−1/8)

Coordinates Of The Vertex

(5/4,−1/8)

Zero (roots)

x=1,3/2

Step-by-step explanation:

Answer:

84 cars

Step-by-step explanation:

the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12

12 x 7= 84.... or at least that's how I think of it.

Answer:

Step-by-step explanation:

16 triangles

Complete question:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal

Answer: 3/4 hours

Step-by-step explanation:

Target hours = 4 1/2 hours = 9/2 hours

Number of hours so far :

(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours

Total so far :

L. C. M of denominator = 4

(6 + 5 + 4) /4 = 15/4

Number of hours left to meet his target equals :

Target hours - total so far

( 9/2 - 15/4)

L. C. M of denominator = 4

(18 - 15) / 4 = 3/4 hours

.

Answer:

The radius is 14

Step-by-step explanation:

The circumference of the circle is 28 pi

C = 2* pi *r  where r is the radius

28 pi = 2 pi *r

Divide each side by 2 pi

28 pi/2pi = 2 pi *r/2pi

14 = r

We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,

A = Amplitude,

[tex]\frac{2\pi}{b}[/tex] = Period,

c = Horizontal shift,

d = Vertical shift.    

The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].

Let us find the value of b.

[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]

[tex]7\pi\cdot b=24\pi[/tex]

[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]

[tex]b=\frac{24}{7}[/tex]

Upon substituting our given values in general cosine function, we will get:

[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]

Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].

Answer:

35x + 15 = 155

35x = 155 minus 15

it will take 4 months to pay off the debt.

Hope this helps. Mark brainliest please!

Answer:

35x + 15 = 155

35x = 155 - 15

It will take 4 months to pay off debt

Step-by-step explanation:

Its mental so idk but trust me <3

Answer: 4.5 pounds

Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.

Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.

So 72 ounces equals 4.5 pounds.

Answer:

c because 10gallons per min is to much

Step-by-step explanation:

The water in the tank is decreasing at a rate of 2 gallons per minute. Therefore, option C is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given table shows a linear relationship between the amount of water in a tank and time.

From the table we have (0, 30), (5, 20) and (10, 10).

Now, slope m=(20-30)/(5-0)

m= -2

Substitute (x, y)=(0, 30) and m=-2 in y=mx+c, we get

30=-10(0)+c

c=30

Now equation is y=-2x+30

Here, the water in the tank is decreasing at a rate of 2 gallons per minute.

Therefore, option C is the correct answer.

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Answer:

x = -9

x = 6 BUT IT DOES NOT WORK WHEN YOU PLUG IT BACK IN

Step-by-step explanation:

Triangle area = 1/2 bh

The area is given (44)

base = 2x-4

height = x+5

44 = 1/2 (2x-4) (x+5)

Distribute

44 = 1/2 (2x^2 + 10x - 4x - 20)

44 = 1/2 (2x^2 + 6x - 20)

Take out a 2

44 = 2 * 1/2 (x^2 + 3x - 10)

44 = x^2 + 3x - 10

Subtract 44

0 = x^2 + 3x - 54

Factor the way you like and you should get

(x + 9) (x - 6)

x = -9

x = 6

If you plug them in only the -9 works.

44 = 1/2 (-22) (-4)

Answer:

x=6

Step-by-step explanation:

[tex]\frac{1}{2} (2x-4)(x+5)=44\\(x-2)(x+5)=44[/tex]

[tex]x^{2} -2x+5x-10=44\\x^{2} +3x-54=0[/tex]

[tex]x^{2} +9x-6x-54=0\\x(x+9)-6(x+9)=0\\(x+9)(x-6)=0\\x=-9(rejected),6[/tex]

side is 2×6-4=8 units

height=x+5=6+5=11 units

x=-9 is  rejected because it gives negative side and negative height.

Answer:

it would be the same since its ON the x-axis ( the point does not change)

Step-by-step explanation:

Answer: Increased A.

Step-by-step explanation:

Answer:

A, B, E  

explanation:                                                                                                                                            

Answer:

A: The range of scores is 38.

B: Without the outlier, the range of scores would be 12.

C: The outlier impacts the range more than it impacts the interquartile range.

D: The interquartile range is 9.

F: Without the outlier, the interquartile range would be 9.5.

Step-by-step explanation:

edg2020

Answer: the roots are x = 20 and x = -8

Step-by-step explanation:

We have the function

y = (1/4)x^2 - 3x - 40

We want to find the roots, that are the points in where y(x) = 0

For a quadratic equation of the form:

y = a*x^2 + bx + c the roots are:

[tex]x = \frac{-b +-\sqrt{b^2 -4*a*c} }{2*a}[/tex]

in this case we have:

[tex]x = \frac{3 +-\sqrt{3^2 +4*(1/4)*40} }{2*(1/4)}= \frac{3 +-7}{(1/2)}[/tex]

So the two roots are:

x = 2*(3 + 7) = 20

x = 2*(3 - 7) = -8

Answer:

1042 square inches is the total surface area of composite solid.

Step-by-step explanation:

It is clear from the image that the resulting composite solid is a cuboid.

whose sides are as follows:

Across the length there are 3 blocks along the side of 7 inches each.

Length = [tex]7 \times 3 = 21\ inch[/tex]

Width = 5 inch

Across the height there are 4 blocks along the side of 4 inches each.

Height = [tex]4 \times 4 = 16\ inch[/tex]

We know that total surface area of a cuboid is as follows:

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

[tex]\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]

Hence, total surface area = 1024 square inches

Step-by-step explanation: i got it right

Answer:

B and E

Step-by-step explanation:

In the graph, the altitude represents Y axis while time represents the X axis. we can see that at interval 1 the function is dramatically decreasing. At Interval 2 the function is constant. At interval 3 the function is increasing but I can't say definitively if the slope is positive or negative. Hope this helped!

Answer:

There are 10 fourths.

Step-by-step explanation:

There are four 1/4ths in 1. So 2.5 x 4 = 10.

Answer:

2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)

Step-by step solution

Answer:

s = 4 3/4.

Step-by-step explanation:

The formula is s = ut + 1/2 at^2

so s =  10^1/2 + 1/2 * -2 * (1/2)^2

s = 5 - 1/4

= 4  3/4.